Question

James is six years older than lousie. Eight years from now, James will be 4 times older than loise was 4 years ago. What is the sum of the current ages?

Answer 1

Answer: 26 years.

Explanation:

Let x = current age of Louise (in years).

Then current age of James = x+6

Eight years from now, James's age = x+6+8= x+14

4 years ago, Louise's age = x-4

According to the question

x+14 = 4(x-4)

⇒ x+14 = 4x-16

⇒ 4x-x = 16+14

⇒ 3x = 30

⇒ x= 10 = current age of Louise (in years).

current age of James = 10+6 = 16 years

Sum of current ages = 16+10=26 years.

hence, the sum of the current ages is 26 years.